Quantum jump correlations in long-range dissipative spin systems via cluster and cumulant expansions
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866914562342649856 |
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| author | Salatino, Giulia Delmonte, Anna Li, Zejian Fazio, Rosario Biella, Alberto |
| author_facet | Salatino, Giulia Delmonte, Anna Li, Zejian Fazio, Rosario Biella, Alberto |
| contents | We characterize nonequilibrium phases in long-range dissipative spin systems through the statistical properties of quantum jump trajectories. While the average dynamics governed by the Lindblad master equation provides access to steady-state expectation values of order parameters, the quantum trajectory framework reveals features encoded in the spatial and temporal correlations of detection events. Focusing on a model exhibiting a paramagnetic-to-ferromagnetic phase transition, we investigate the full counting statistics of quantum jumps using a tilted Lindbladian approach. We combine this with cluster mean-field and cumulant expansion techniques, which allow us to capture, respectively, the short- and long-range structure of jump correlations. In addition, we study the waiting-time distributions of detection events. We show that quantum jump correlations display clear signatures of the underlying phases and reveal distinct dynamical features across the transition. Our results highlight the potential of trajectory-resolved observables as probes of collective behavior in open quantum many-body systems and provide new insights into the role of long-range interactions in shaping nonequilibrium dynamics. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_21513 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quantum jump correlations in long-range dissipative spin systems via cluster and cumulant expansions Salatino, Giulia Delmonte, Anna Li, Zejian Fazio, Rosario Biella, Alberto Quantum Physics Statistical Mechanics We characterize nonequilibrium phases in long-range dissipative spin systems through the statistical properties of quantum jump trajectories. While the average dynamics governed by the Lindblad master equation provides access to steady-state expectation values of order parameters, the quantum trajectory framework reveals features encoded in the spatial and temporal correlations of detection events. Focusing on a model exhibiting a paramagnetic-to-ferromagnetic phase transition, we investigate the full counting statistics of quantum jumps using a tilted Lindbladian approach. We combine this with cluster mean-field and cumulant expansion techniques, which allow us to capture, respectively, the short- and long-range structure of jump correlations. In addition, we study the waiting-time distributions of detection events. We show that quantum jump correlations display clear signatures of the underlying phases and reveal distinct dynamical features across the transition. Our results highlight the potential of trajectory-resolved observables as probes of collective behavior in open quantum many-body systems and provide new insights into the role of long-range interactions in shaping nonequilibrium dynamics. |
| title | Quantum jump correlations in long-range dissipative spin systems via cluster and cumulant expansions |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2604.21513 |